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Finding the Fourth Proportional to 1,734.62, 2,393.86 and 1,026.87

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Solution

The fourth proportional to 1,734.62, 2,393.86 and 1,026.87 is: 1,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.62 : 2,393.86 = 1,026.87 : x
  2. Step 2: Convert to fraction form
    1,734.62/2,393.86 = 1,026.87/x
  3. Step 3: Cross multiply
    1,734.62x = 2,393.86 × 1,026.87
  4. Step 4: Simplify right side
    1,734.62x = 2,458,183.02
  5. Step 5: Solve for x
    x = 2,458,183.02/1,734.62
  6. Step 6: Final answer
    x = 1,417.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.